54482004864000 has 1760 divisors, whose sum is σ = 233140726900224. Its totient is φ = 12394421452800.

The previous prime is 54482004863999. The next prime is 54482004864017. The reversal of 54482004864000 is 46840028445.

54482004864000 is a `hidden beast` number, since 54 + 4 + 82 + 0 + 0 + 486 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16474750347 + ... + 16474753653.

Almost surely, 2^{54482004864000} is an apocalyptic number.

54482004864000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54482004864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116570363450112).

54482004864000 is an abundant number, since it is smaller than the sum of its proper divisors (178658722036224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54482004864000 is a wasteful number, since it uses less digits than its factorization.

54482004864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 54482004864000 in words is "fifty-four trillion, four hundred eighty-two billion, four million, eight hundred sixty-four thousand".